Atkin-Lehner |
7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11011m |
Isogeny class |
Conductor |
11011 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2592 |
Modular degree for the optimal curve |
Δ |
-1332331 = -1 · 7 · 114 · 13 |
Discriminant |
Eigenvalues |
-2 2 1 7- 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-40,-100] |
[a1,a2,a3,a4,a6] |
Generators |
[15:49:1] |
Generators of the group modulo torsion |
j |
-495616/91 |
j-invariant |
L |
3.7023845120417 |
L(r)(E,1)/r! |
Ω |
0.93787387937167 |
Real period |
R |
1.3158786035361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99099bw1 77077bb1 11011h1 |
Quadratic twists by: -3 -7 -11 |